in the graph why we use term speed and velocity are used in the same sense plz help i will mark u as a brillianniest
Answers
Answer:
Velocity is the slope of position vs. time graph
The equation for the slope of a position vs. time graph matches the definition of velocity exactly.
A perpendicular pair of black axes are given. The vertical axis is labeled "x (m)" and the horizontal axis is labeled "t(s)". The origin of these axes is at the lower left. A blue line extends diagonally up and to the right. On this line are two points labeled "P_1" and "P_2", with P_1 being closer to the origin. A red arrow labeled "Delta x" points upwards from P_1 . From the end of this first arrow, a second red arrow labeled "Delta t" points horizontally to point P_2. At the lower right in red is the the equation v = Delta x/Delta t.
A perpendicular pair of black axes are given. The vertical axis is labeled "x (m)" and the horizontal axis is labeled "t(s)". The origin of these axes is at the lower left. A blue line extends diagonally up and to the right. On this line are two points labeled "P_1" and "P_2", with P_1 being closer to the origin. A red arrow labeled "Delta x" points upwards from P_1 . From the end of this first arrow, a second red arrow labeled "Delta t" points horizontally to point P_2. At the lower right in red is the the equation v = Delta x/Delta t.
\text {slope}=\text {velocity}=\dfrac{\Delta x}{\Delta t}slope=velocity=
Δt
Δx
start text, s, l, o, p, e, end text, equals, start text, v, e, l, o, c, i, t, y, end text, equals, start fraction, delta, x, divided by, delta, t, end fraction
To calculate the average velocity between two points P_1P
1
P, start subscript, 1, end subscript and P_2P
2
P, start subscript, 2, end subscript, we divide the change of position \Delta xΔxdelta, x by the change in time \Delta tΔtdelta, t.
The instantaneous velocity at point P_1P
1
P, start subscript, 1, end subscript is equal to the slope of the position graph at point P_1P
1
P, start subscript, 1, end subscript.
